{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from arch import arch_model\n",
    "import numpy as np\n",
    "import random\n",
    "from scipy.stats import norm\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2769, 3)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ticker</th>\n",
       "      <th>date</th>\n",
       "      <th>close</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>None</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>MSFT</td>\n",
       "      <td>2006-01-03</td>\n",
       "      <td>26.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>MSFT</td>\n",
       "      <td>2006-01-04</td>\n",
       "      <td>26.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>MSFT</td>\n",
       "      <td>2006-01-05</td>\n",
       "      <td>26.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>MSFT</td>\n",
       "      <td>2006-01-06</td>\n",
       "      <td>26.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>MSFT</td>\n",
       "      <td>2006-01-09</td>\n",
       "      <td>26.86</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     ticker       date  close\n",
       "None                         \n",
       "0      MSFT 2006-01-03  26.84\n",
       "1      MSFT 2006-01-04  26.97\n",
       "2      MSFT 2006-01-05  26.99\n",
       "3      MSFT 2006-01-06  26.91\n",
       "4      MSFT 2006-01-09  26.86"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# daily price data of msft\n",
    "import quandl\n",
    "quandl.ApiConfig.api_key = \"YsgeJmyZtvDmyVdYinwf\"\n",
    "price_daily = quandl.get_table('WIKI/PRICES', \\\n",
    "                        qopts = { 'columns': ['ticker', 'date', 'close'] }, \\\n",
    "                        ticker = ['MSFT'], \\\n",
    "                        date = { 'gte': '2006-01-01', 'lte': '2016-12-31' })\n",
    "print(price_daily.shape)\n",
    "price_daily.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,u'MSFT Price')"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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B79iz/rJKt1t6OPVWLslhPiIiIupE1h6qAADUWR1w6qSQ+qTGo09qvBrgmI3u/9ud3sfa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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fbd0d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# daily price data of msft \n",
    "\n",
    "%matplotlib inline\n",
    "import seaborn as sns\n",
    "sns.mpl.rcParams['figure.figsize'] = (10.0, 6.0)\n",
    "sns.mpl.rcParams['savefig.dpi'] = 90\n",
    "price_daily.plot(x='date', y='close')\n",
    "plt.title('MSFT Price')\n",
    "# plt.savefig('msft_price.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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T2G2P7Bc0559gbqo2T05B+2em2DtYKSP6q8/i6BEwX0apPZEiEhrnG/j53fFN\npm6koJ0oswvenounJ6yL0GcncjFkR/ZJXPTuPDw/cb3m70JrWE4RWKOFG30iFgKuV3NwOelXz/6x\nHk0fneRaCTy5f9pxPbn/hxW46YulloMDgkK5tQ4w+re1aPn4ZMvtiRVlWiibaDEcO1oCQCCfS3QO\nX6p8u2gHphr4xmm9nEm+0NfpqQnrwn4HtAU6r90zdXsmrt6LD2dvQcaoiYEUIDKyQHrD50tCfiss\n1r86La1haRP0KbObPNZ529fuPorNB6LjVyIm2DwDTdmUdftx93eh2lKzqz94PB8dn52K9XuClQ/W\n7z2GLxdsd9pUXV6fugnTlUoLVsg+6XedWKXjOye0htHWlEUyuMbSv9Jr62i5L57IL8Knc7dadvv4\nfL4/AvbVKRsD37l1bx+0ke1+i+JyYmQpkAlEgVvsot8t3qns5/7DO5ZXqDnOO6FMC2VWidaqKODD\n5LEX3Amjf1uL279Zpvu7tqaMGU7sPoPoy/dnbrbfyCiiftHv+X45XprsH+T+3hA+WTrxKdt/LA9n\nPTfNWQNdRFyrfA2HTuSj3dNTwrSdQPD90RLKlu04YqmG5kXvzsOAN2Y7bbIl7EbEBt9f7Rd45qYD\nyDlVGJj0tPa1g9Ew8e6Mzbj160xkjJqIsUt3Wj6mXjOEWbNcig+ccxzNLbTeUBtYGfpO5hdhzMT1\numkRvGAKjjXyfRwzcQOen7gBf1v0tYokH6QW8vPIORV5v/l9pXZtyeB4Yte3NcIGaTDsg4Xo61Lu\nORLKLBA1TVmgALY3pTI326U1ISf5GE4WaAc5bD5wPExzJvP6tH9ca5sbGN0prf7jRChzOwu4U8T1\nyFcwf/MhHM8rwidzwwUQo+jLyz9YgPPeLD3/MS1Eu/Jt50JyX9PtxljzzaKg6b2gqMSRZkCYL5N9\nPrw/aws6PDPVtZxTMlaa9v6szfhk7jZ8K10X4L62PL+oGHd8k2mpjFJpaaxzC4px8bvzsMZiNDBj\nwFElEbdVH8lkxXm3RFqTRHJ1ToOY5EArmft/1Na2BUQym6eLhrvQJgsLS6uQUGaBaL1+YoXiAYtU\n1NFLHvvKX5s0t5+8JmgKNRMOFypZtiPFqm+CFkbvuVsrUKtH2XzguGsq+l2HT2HZjtA0BvOUNAh2\nB0Ovd3Mr0Zda91XX39DGBVvpe1ZvtzhWz5dnoNXoyXj773+tN0RB3AsOBCIw9x11XyizUtlC+PqJ\nyTS/qBiLt7rzzsss35GDKev247Ff1yJj1ETc8U2m7rafuZD01gordh3Bmt1HMWaStu+fFqKLLt+R\ng36vzcIpnYWvIEWkHnJpInJOxINFAAAgAElEQVQ6itrZb+zSndihLFLtns/r8y0JZRawOsEt33kE\n2SfyLR/XzPwB+FM8tHx8kmU7uxbH8grx4uQNtiJPVu7KwRdKhnM30FqdGJku7bw3J/LtpxRxGyPz\njpYK36ofhF3m/nsQA96Yg1+WuVNu5dxXZuLyDxZq/iaviANaX62gDPG/R+30AU2ZBaGsQHqH1N13\n5sYDmn4lWr08mhnKxWIv64g/Ke5PGnkGzR6FMF/K760bZkL1IewEDwlhc8zEDbjq40Wu564Siz/R\nxinr9H309h7NdfXcVti47xgOHrc+v3w+fxu2HjoZ4tOohdCUFbkkrfhMwi8jrY1ZWFyC/45bg08V\nwdgLmjI3IaHMAlYf4WXvL8AVH2pPYFpY6ZyrduWgsJij9ZN/WT6umlf+2oiPZm/FH6v2hHyfX1SM\nCav2aE6WkSRf1ULrRTByTJY3N3uHxi/PQsaoiTh8Mrx+phf4cPYWrNtzFK9O2YiMURMBOFPxWxlL\nhDP82t3RTX4K+AfD5Tv9PmFG2V1E/4rFWPj3hv3IGDXRtUlU9jtTP8Gbv1yKvq/NwvuzNuP3lbsN\nzX0iR6EdrN4+OwEYepsK05cX5i91E0SJppxT/nvIwPxpbCIVKgIBLOab/rBkF3YrlSAKikow9P35\nUdHeyQx+ay76WfBbUj8zs7uSoghlxZL9MpJFg97tO1VQhJISHkh15PR5qUve2bVwRFMok+fSX5Zl\nOfLFJKFMYuQvq3ClhlBl5xnaicCwoimTWbDlEJZuP2y+oYpT+dov2BvT/sF9P6zArE0HNX93E60E\nm8fy9DusbLLMLSg2FDImK+aVHdnR87mKVEuw+cAJvDdzS+Czk8Srb/9t7kdXmqnvfIzhsvf9PmEj\nf1ltun0sVqg/LPE7vY/+da3uNnZ8J2WNtSz8yO/wK39twv0/rgz4PWo9aicJo62ycldOiHO0tpBm\nfM1BrWHpPLOMURPxwI8rNH/jKmFJ3Y0YA9o/PQXnRZjbzm6KhXuV3IVZR05hxc4c/Hdc6DsQjRqq\nx6NgFUhJ8l+vrCkb9uFC9HhpBp7707rZNIBmfy9Emyen4J0Z/wbK5+m5dZjdM7XV6JtFOzDZRmF7\ncZmHTuRj/Z5jrmo9xbHX7zmGh39ehZG/rLJ9DBLKJH7KzMISLaEnaikx7B3+2k8WY5gNTZygUOkp\nQk0tED4iObnONEyP/LzKMMt//9dn4cv527B291HM1BD8klRqbtk3R15EjV+xGxe9Ow/HDYS4aMM5\ncNRiJJHWoP7a1KDv3LmvzDCtjnDgeF5AEwD4y4ws2moukAfNiJaaGhHyVeaKlbXGecVXpeHLsTor\nJySaU9wHo0g0vXulNTnICwn5dyPTj1Z/iESrY2Wi13OODh7D/7+e+CH8uPRO5bT9Rnv9tnIPHv7Z\nfBIL1F6VvjtZUGwpZcoBC8EKVtdLuco90osSf/bP9aWeB5Pz8EXGsA8XGi5qk5PCUw9t3Hccu3Ny\n8dm8beg8Zjp+WLITx/MKdZ+7/L26v1/54ULszfHf9z9X7w2YN9WHCga+GaMVHPb6tH+wad9xdHx2\nqukzFv2n1yszccE7c9H9xRkmZ7ROkaJtFOPh+r3HbPtiklCmYDRJmq2kT+YXBcxSdmA6L7PbFCl+\nMCk+hgPH83DkpFD7R8bPy7LQarR+Mr4tB0/i6T/WB3xb1Git4PXCnwHjZ+QGZs957mbnGsVdh3ND\n/hamDz26jPkbZz8/PfC5qMT42tftOYpxGn5kpwqKsG5PdEyZWs9v/d5jOKTyq9Sa2GduOoBP5251\nvU2X/G9+SDSnfGpZmJH9K/WeutZ7KZsj5N/tZgrX1RLobP/p3K3YqwzudgXu3Tm5WKRjWtMzdQbM\nlzrHLDTpj3po+hyqTD4TV+/Fnpxc5BUWY8bG/WHvpfoIWtcw8pdVOEPD5eOcl/QnYNGMBRYDh8S4\n6gsIE6EtEz65bmjLzBZk8h3QOt0zf+hHsqf4jH3KDh7Px6Pj16Dd01Px4uQNge+v+XgRLnt/Plbs\nPIJmj03Cgi3+ACC1S9mS7YcD/SktxRfQlKkFPLHbbp35QqDlX53EGL6Yvw05pwoxfYNxKhCudF3Z\nDBqx6VtBHSyx63Auur34t61jkFAG/0vz3eIdBr9rf3/5Bwsw8I3ZphOsYMHmQyGDus/AOdotOOcB\n897x/CJ0GfM3zlTlurJzejtlMAR2IocCK3ybgQFu8PUC/T4AlH7UjvyCazmhfzBrS2AwufCdefi/\nn1dJYeX+7+/7YQUufGee5WCIsUt34rcV4YLxvxZDvrcdOmkpxcXNXyzF8xM3mG7nJuJ+/r5yN1o+\nPjkQ+af3/ml9P3757oBPU4iQV6TfOXYcPokd2SdDTEFitS6Ooe7a93y/HDd/EUwqHOm9uvrjRVi/\n5xjGL8+yZK4RXU/Pt9NppJ7WfgUqgfae75fjig8W4KXJGzH8y0wsVzToL07eiDVZR8M1LBrn+Skz\nSzOIwEijaTcFkDhWoDKLjpwaybihpWX9KTM8cMMMrYXxzE0HMG39/oCmzMoz/X1l0C954dZsLN+Z\nE9BuzlasIVquGeLQxSXBQAC9hckNny/Byl36FVTUPmWAPyVFoNIIU29fFKIp1DqvW0EOwXvo/Hgk\nlMHfYYwSR+r5wizbcQT/WswyfiyvENd+uhjDv1wa+E7PR2LLwRMhpXfs8nPmrsDAKx9b7fczzUYG\ncMFNXyw130iFrCWSMRKxnLwjhxw4T8vsM1F7xyJ6cNHWbCU8Pzwx78t/bcR0VWLagElcaepSpT5c\nkUVNzn/HrcEDGlm4r/9sSdh3evdDDrgYu3RnWNLXN2OUY04MxiLdykaToudaV/fDkp04/+25eP7P\n9SGTmJHmaNHWw7jr2+UhaRTMVuYTV+/FzE0H8cGsLaYpDaxywTtz8dBPq2wVEZfHvrzCYoz4fjmy\njpxyPIlp7aal+dhzNC/gIyo0+8UlHJd/sCBswHQrktXu6y20o2a+wU4E2LW7j2L9nmOaplQt/02u\n87dg79E8fDInNMv/zV8sxW1fZyLZRFOmdx6ByMRfrBJSZUQQQXFJSdDca3A+o4TSeu+DOJxaKLzv\nh5W46N150nbh550huTeYjfOX/G+e5sIVcCetCAll8D+kv6Sipg//vCpkoIjkNu876jcXFimlc5bt\nOBLI8B70KQs9Q//XZ4eV3rHKifwiPPLL6sDAqydQ5mnUsiwqLoko9YZd9O7rsh2HHSWufX2qds4z\nt4h21I5WkMn3SmkQvVD4sOgelV9G0P8mMi2jlnnOyt14/s9wDY+TvFlOkQdYXd8x6e+N+4LpA4ye\n96fzttkyX67fG5qWIKhlCX0uMzceQPung7VPX/5rY1guP7lZ6/ccs10Q/eCxfEvpP9TnWrT1MP5c\nvRc9X56JX5eHTkpLth3G9Z8tNnXj0JqItTQfAAJ+qGrhV30EJ0ETJSX2nPDzi4rDksoWq56haOaO\n7JNYoOTy839vf9y46N15uOCdubq/93hpBrJP5GPGxv0hWmzG9Pv5mEkbAjkGZYSmzApW8jFqWTQ+\nmOUPcsovKglEX05csxdvT/8XGaMmhjnqG6Xx0JujgjV5Q8+vDo7Teh53fhtc9OpdY35RMTbuO4bV\nWUc1F64AcOB4fsSLqIQSyjK3Hw4ZVPVQr6xKOA+pAffLsiz8vCyoIhYTo0D9Mht11G4v+s2FcjcR\n0Y6i87g514u2HTjmn8T1BPcJkhp695Fc/LV2L278Yomj1Btag5uliBadtn2qkRUeMPeBS41ynT6r\nbjQfzt5ivpGKkwXFmkEmZr5kj/yyGlukBJyypuzwyQI5pCwiNIUyK/3W4nkfHb/G0nZCa1JQZG0B\nITdRbxUrX8fgt4ITodmqVx7cjcyXWohjq9+dn5dlhQkZx1SCt1iw/LhkJy54Zy7GL9f3w9SCA4FF\nm9njkRdHNSulBv5WV9u48qOFmPtv6IT/+tRNYSXGtCZEPaEs0AaVYF2imvydRAg2e2wSRo0L7XNG\nT3DkL6sx4I1Qs/zeo3nIGDURPRQ/NdGu3q/OwrWSNvKp39e55rMk2J2Ti4d/XoXhX2Zi4JtzVNn7\n9c9VPjW8wHyySV4xmUMn8nUXv6sUk6PW0YSf14m8ooAmK+tILt6c7tea3/XdcmyVMhcY1Ye9S1WD\nViC6ifpy1PfebNzS+/mCt+eGjA9anPfmHFz2/gLc9rV+yUEzEkoou+LDhaY3bdmOIzj9ib8wWzIP\naj0k+bs3VOYWJ++XvHgQf4uv7B6v2aP6q1Hh3yYGfb1V2kgpfPv1af/gzm+XY/5mZ3l2tFbdViJa\n9NrmY0zzmZi5lNkZXJxQwjlmWvCpW+MgR9hTv2s74hoVJxf0fz1oHhT3aObGAzjruWnBEHrlMLtz\ncnHxu/Nw4Li9iCCnanmrT0SkrjDjyo/82sRhHy4wXUBkHTkV6gel47+lNwwv2WbsXC2bAdV+UWa8\nMsW6VlfP9+Z7i/dMjS0zvLSp3ffr3RmbcctXoVnxta5l7r/GrhrqrmfU/O8W77AcdDU2cxdu/zoT\nNym+e3K0sxorY6PeKzI2c5flMeFYXqFhO2SOS8L7R7ODQTNG90fL30sdlW/GuzO06w4v35mDXYdP\nGab7KSgqiZpvcNCnjOGf/cex/dBJ/LIsKyyNiJOxbHdObsBMa8bGfccjypmZ7HhPj5MxaiLOb1sP\nH/znbADAQ2NXYvyK3Xhk0GkAQqP8tB6S0YPzD2rOOxZT/SGvRq3Ul5ObNnXdPpx3Rr3AZyGUBh2J\nHTfTMlo5yKygd48nrtmLOpXL2T7ecr1yNy7BOfBClJzT9aJO7Ub1iQFR7R8n+tg3C3dgze6j+N+M\nzXh2SFvLx9XyN7FiYlZrfexEKY/8ZRVuPCcDZzSoGvhO+HCuMqkFOH55Fh76aRXKpwQ1A1x1K4+c\nKkDGqIm4rmtjzWPY8Z8002iqEZHEViYo9XvCuT/v3WqL9RAjQT6z3pB4jo3oMu3IQGNNl1qQMxrT\nPtPRsstc8r+gf9FUya/WKI2IFUHWaBurJszOz0+3bFrWboOTnRyfLoxTBcWGi+fj+UWWa3LaRQQh\nMAbDYKMSzg0T/eYWFqNSuVDR6Knf9fMcuk1CacrUTF67D5e+Nx/fLNyO8YpjnjBd7pEiJrVeGPV3\no39bI/0WagK1IvjLhxMDsZzRf0f2Sfy5eo+ljM0yt2s4gPvbaKwpcxMz84MeRguWAzbKiZQWJZxH\nrRCxnpNtkQVNmYxeV/x20Q7kFxWjlmKC+nrhjpCIpJxTBSGrO7UmTfO6o9y1fsrMwhUaJZ6u/tg8\nV58IcMiV3lPxt3hf9yspJr5b7EzjFHI+E62aHhv2HsOd3ywzHEPChDIAFxr4G5khH+14XhH6vT5L\n14dHHj70xpI9NvIwOTHjqfcxGtOs1JnVEmbNMq9bGUeNtlm7+ygeHb9G8/ov/2ABPp27FfuO5oUJ\nZEZTi16fsXuHtfJ+OWXJtmxTdYXVd8VprdUjJlqqFyZtwM8GZeh+1XDiV+fUjCYJLZQB/uzWT0im\nIdHpZUnYyjjx7aLgwF3COW6WVtFvTNWOJpMnNvmF/XLBdrw3c3PgpdqZfQq9X52FEd+vsFULzojC\nYo6MURNdq4FohNPoJ7sCYwyCH0Mo4e6FTlvFrqZMb6B+beo/eHPav6gtaSAvendewA+k47PTcJaU\nKqXLmL9DVrTamrLoo2UWtJJEV2vy+2hOqK9fhXLuGQqe0DE/W+Gvdftw6Lj+RBKuKeMRaVNkNu0/\njq0HT4ZUi5DNZyWcBzSiG/aa++sCwQLmWlgRmtSo3wGjQ+zIdqa1N9KAl5RwHLGQOJrDH6SkxRO/\nr8MPS3aG5PD7cv42ZIyaiGU7juD5iRs081mdMhhbdQNXDG4QY34BVA4OcdPt44nf17lSIxUApq3X\n70dG/LnaOLv/pDX7jOcSjR+TVcWKja4xLSUysSouhbI1u4+GCBuc8xCzn1GnFANcOdmsobG9kRNx\ncQnHQkn9+dc67c4jshgD4YLfq1M2BbJmj9XJO2PV1JO5/TCW7zyChzQiQkTUix3m/RseoWNEnsMJ\nwrZQ5ugs7sERPU2ZHraFMoN16o7sk/huUahWaK/BavT2CJxVnfD3hv14eoI94UZ+HsLfDABWZYWb\nstVpb9QO9LFEs5KIgtUcc1bR0myLV3Ho+/PxP8lnSO7tVjWKd367TLfcnJPXR70gEJU93HwX9aqa\n3PFNJg6dtKa1zzlViMs1NLshSK/nJxZMrQ//pF/hQCuly6mCItNx8qPZW0KCQ+z6lJlhZpLXqu6i\nxRO/r8N7M8P916qWTzHcL3PHEUvH16OohIflZVRryoyuMClCqTQuhTIA+Fha9f6wZBe6vhBcZcgJ\n7tSI2yXfOK1326iGpZXV3on8IgyRinpr+d98Pt/8pbTCFR8uxOtTNwVMtDJmube0+M9n1vMYAc41\nZXYH1VjUTgw5f0npC2U5NgUHIzNMzqnCsMmfMb9DvBazTXLlufk4BrSug1u+ygyLuiou4YYlYuS+\nJzvma01YPyzZiSMnCwL57N53sGCJBeoM83b7hB1W7MzBp1I+Nae5+S57f77m907Ml2oTvjCXujke\n6FULmbJuPxZazPBvhTGSRi7FQiqKbANTnJaw/sncbYbvJefhzv5WTHN2lGlu+vG/qhEQU79qWsTH\nNfKHfWv6vxj45pwQwUytTfQxprtYUqfksEvcOvonSerEVarsv0YZ9kWHkW+yVmJNLQFHUGzBz0dt\nD4+2PFEhNXaP0qkpJcXmCu2TOe6X5bFDLMyXWy1G/AjGTNI3wyzUcW7t+fJMW+cQGA1sj/26JiyV\njBFGq2ujZKe5hcWoaMMMuedormvJRmPFZe8vcP2YHNoC07ZDJ7F2tzWzpYxs7lu7+ygqlkvGj0t2\nBqqL2EEvstXNV9Go/zn1mdVCVhhEOnk74Zk/1qFHi1oh31kxX9q510bRl3Ypn5IU4hcKmCd9jhSx\nsJV9bNWCq48xDH5LO5jguEbePDuL+bgVymT/BnXyOy3pWqDVYbq8YD16CDCfmDcfOB7WcR7RyMLs\nJk6y87uF00LhMwyKRGthJR1FNOGcx1xb5zbva5gHrGJ0K+wIZGbHMhrj3/37XzSsXh71qpa3dJ5D\nJwpKJWox3sgvKtF0wzCLjLSCnE3dTdQ1ViPBaCzSS9wcKdFK4aNOliqzOutomGuOEyf2TINzGCV+\ntUvFcslhQpkb5BtU8BGkSS5OahmjoLhEt6azFnbcUOJWKJOxo6n5SNG2GGnCzDiq438guOe7Fdik\nsklHUjbJ64z+rfTChWNJCbderiheMEstYUS2RV8bKxiZyYxW3l8tNK5Xqub2rzPNNyqDzPnnYEKP\nUZGgzlPpFmrncbcw0+wdUeVBc6LZukKj+ohgwip99yG7VCqXhEPWKhnaYuIa42AAIPS+RBp9acfC\nErc+ZTJWiyW7hTqzsxq1QJbolJbyKNZKqmf/XO+opEuiYlQv1i5/G2gq3FQouBW1SBCRYqe8kZuo\nhTYv6/63O4ymdQO5HFykzvuFNsadhNCUuR2dRHgTq8XfidKhtKaUSAvNE4QXiXYFEj3UQpnbJaAS\nhekb9uOKDxbg8MkC9DmtTkTHKrSRXNoVTRljbDBjbBNjbDNjbJTG7+UYY2OV3xczxjKk3x5Vvt/E\nGBvk5PxWStEQQOMaFWLdBCKBMIvOJAhCn2hXILGK3WoUZYnMHUew9dBJ/BOh9ctOEvCIhTLGWBKA\n9wCcD6ANgGsYY21Um90C4AjnvAWANwG8rOzbBsDVAM4AMBjA+8rxbLHTYZmfsoZTh3yC0MJJJB1B\nEN7CSjLmss68zfZyd6qx4+jvhqasC4DNnPOtnPMCAD8CGKLaZgiAr5S/fwHQn/ljkIcA+JFzns85\n3wZgs3I8IgpYyUpNEARBEIR7GKX1UeOGUNYQgJySPkv5TnMbznkRgKMAalrcFwDAGLudMZbJGKPw\nKYIgCIIg4gI76TPcEMq0vBXVBlS9bazs6/+S84855504551sto8gCANeuaJ9rJtAEAQRM6Y+2CvW\nTQjghlCWBaCR9DkdgDpRSWAbxlgygKoADlvc1zPcdm5Ty9uOHHwa2jasEsXWEIQ7XNmpkflGBBFD\n+p5WO9ZN8Ax1q5SLdRMC2JkTvUqNiqloWadSrJsRwA2hbCmAloyxpoyxVPgd9yeotpkA4Ebl7ysA\nzOD+bJETAFytRGc2BdASwBIX2hQV1OUpjGhdrwoyalaMYmsIgiDKBqnJ9qeqtJSESMMZRq1K3hDK\nvr+tKxpUs1ZJw8v4mHkR9dIk4l6r+IiNADAFwAYAP3HO1zHGnmWMXaJs9hmAmoyxzQAeAjBK2Xcd\ngJ8ArAfwF4B7OOeeLEx3Xpu6SLVRq/FkQRHu6NUclWzU5SMSly5Na0TluP83sFVUjusVEnViJexh\nt04u4K+bmIh4Ja1YpAlVvYJW7dx2DavGoCV+XBnxOOeTOOetOOfNOedjlO+e5JxPUP7O45wP45y3\n4Jx34ZxvlfYdo+x3Gud8shvtkbni7HRXjjOwTV3DUgvntgzVojEwtEuvimkPaduqq1VIcaVdRHzw\n0x3dLW/b//RgosJ6VdKi0ZyYc07zmpa2c7NqAOFdzMrY2FkQC9I8KJRVKpeMcXdZHwu0MCpJZsZp\ndStHdG4ZJ9pLL6JVZsrNa3v1ivZ448oO1tvj2pk9gJY2wq2syTUrpRqWxfjmlq7Y8sIFgc+D29YD\nAFQrn6q5vZsvBxGfNK2lbd4WWoH7+rXAjId7Gx4jGqvmQWfUtbX9dV0b2z6HlVpycx7pG/i7Yqr3\nJtho8N2tXWPdBEc8Mui0wN8Pn2dfe1slzdiiIE+S3ZtZE+jd0JRd2L6+o/3ObFxN8/tbz22Ks5tE\npjV3IpNd2rEBAOCWnu75gJVLTox3Ukvh9+aVHS3ta+aLtuSx/hjWqREuO8u6ciguhbL06tp27B9v\n64bXhoVKpG7ZilvUrhwmUY+/+5yQz2KeaVa7YmDSKS9NJrKAWFzCXdOW/X5PD1eOQ5QuvVtpOy+n\nKBNQ9YqpqJBqPFmVOBihW5gMJB9dby/A+bR69hcYRkWQK6QmYcUTA9G4ZrACRWlYbOpXjb1WskZF\n7UWc17mnb4vA39U1ruG5S9vi7av1J7o6lY3vvVxK7+ou1gJT3NCUMZgLjFq8fdWZgb8n3tcTtSv7\n/cC0zLDNpMVZRk3zqislnNvWHDavXQnrnhmEYZ3csRwBQDkHrgV39m7uyrmb1XbPX1trLJLHnpvO\nydDdt9hk/K3jwNIRl0JZ9QraA5fPx9BIJbDJffc/3eyv6AWNa1ZAsi/0dp3ZKHQ1xBjDV8O7YOzt\n2urpmQ/3CfxdzLlrNnmjCc4ur1weX+kRerSwtmr2Ag9Z9P9KUYR3rec6d2RfnCWtwmWh7JFBp6Fb\nM/NVeOcMd/3bnPQ/I01ZCeeBiX3ag73w5c2dbWXEPqOBs6jn0x0Il24ga82b1KyA0+tVxh29mrl6\nDsaAP+/t6eox9UhRjZOpyT5c360JLunQAHf1CU7Kn98UFP5zco3rm/65eq/peTtnVA/5XLGctlB2\nb78Wmt9r4WMMq5+2X/0vSbKqnNGgakBTlaJhbRl/9zkY0bcFvru1K2ZJ2mE9ijm37WvJmN93yk2H\n9nIOTHyjzj/dlXPrLWidYHZHnr7kDN3fSkq461r8uBTKjOjStAbevroj+il+OWLC6NK0Bto2iMx5\nT4w1zWpXxNLHB2h28N6tagdWRYIxQ9viy5s7o5FUe7K4hGNAa3tmIpntL10Y+NtNf8srOzfCeW2c\nt6u0ubdfS1ePJ5th3KZIZWvUe25iNe3TEFwa1agQ4phaLB3TxxiYhTLhlR2s/I1w4iJgtItciq9l\n3croc1odW/VtL2rfIOT9sMrxvCLzjRxQXdKIv3lVuG/Jr/cENe4VUpPx1wO9MFDnHaySlhw2vljB\nxxjaNqyKbS9eYMnP1s4j/eSGUM2q7Obx5EVtMOP//CZ4xhj+O1h7Ut5/LN/6CU24Sknxord4V2uf\nH7tAX1Cweh/Ugp56N9F/1ZqyDulVUa1CKh4edFoguv/G7k0Mz8V5qAXGCnaEMaHRbG6ijYql+dLN\nIA47i0q1dayYc6x7djBWP32ee+1x7UgegTGGIR0bBlYSwhzghg+XmPBSk3yBgfHr4V3w9/8Z+/1c\n17VJoMr8HyP8q9X06uXx/NC2mDDCnunxrwfODdG4Adb8c6wwQjFBPHmxunSpd3ESlaVHapIvKtGy\nP9zWDQBQrCr8q6f5TjLwXQRCB5FzmgcDTBizJqBf3dndvGRawqMaO4JbpAWS84uKbZ8TAHq2tJ7y\nRubda840/F1+Py/tGF6wpEJqMu7o3SxEUyfMdfK41bJOJax+ehDyC+0HqF9+lv+8jDE8N6St6fZq\nq4CguobLReMaoSa3ZOmd7Ht6HaRX1zbJyZO60CRFgvp90nuX1e/I7b30TWpqYWbVU+eFCcyjL2yN\nhwa2wrpnBgVM4OpXW2h6k1Xj1QuXtQs75zND2mLRo/1128Q5130+TueCJy4Kjvlibjt0ogCt6gZd\nHdSaSCfmS7eo4KJ2St0fjO59q7qVcW7LWgHtmBiq3PJdBxJIKJs7MlTtK17QlnUq4+c7u2P0Ra0j\nPod4D2STUa9WtdG8tvXEc+3Sq+KTGzrh5cvbIyXJh3o2/VhOr1clzEHcDYGzYbXyeFjREqVXr4AH\nBrirgYoWTqKy9PD53NU6CkQAitoCV6BjkhPvt16UldzGs5tUx/AeTTV/00NrkvzmFuclZ62sNMNX\n9kbmS8dNAQAUKVoJ4VP0qsWKBfWrpjnSsF3coQHGDNUXdN6/7uzA33oai0fPb42/HghGaovF5MUd\nwh3Nndwe2efLipZFZ87HG1d1xOgLQ8dS9SXJE5SWuU4gR+BWTnMvGj1XEVr1rtPO/KnetGr5FORp\nCMWMMVQslxx4F9Tvrvig6JUAACAASURBVOiTqcr9EIJ8E51cllrzgtCyntOilu57fqXkM6YXSKSF\nHAAg/PuO5hZi8v3BPvnznaFaonLJPgt6+SCiX9zdJ3K/Mqf+gtdqBCWp30lx7/9vYCu8rvZRhz+o\nb7qiiBELSFkYjjRiPmGEskY1tFdjjPl9aLRUrUYOfFqIFy7SSWNgm7qBQcjMwdUIEeFjpKm4oJ0/\nCvQ+Ez8KvUHY6xhFxNolWnl3xFHVTvmFRdpCmWhHiU5Hk1tZPjUpcA8YEGa+lNNrBPbXuMxzWzr3\n0TCSi8Ug2Ey1cJHbYGXyEBndraQWEfd5hNLn26X73RbMBPj6VZ0nwtQzG/8xomdYVHjjGhVwR+9m\nuMbAYb19ejX8eW9P3N0n+N4GnIodjD9qDY1g2oO9NO+/WhPTqYlfS1IxNdl0QpSFMqPUAowx/Hi7\nX4s8REdTNqRjA8z7r7mfFRC8LacK/EKTVv4pAKhR0br5V0uIVpv/tbbhHFj8WH8sGz0AAHC5YjIW\nmu2LO/hN7HY080PPTMecR/ri6YvP0F0IPXZBUGD+7MagWdnK0PbkRW3Qpn4V1KoUNPsm+RimPthL\n0x/R7oJYCC4jB5+O+/tHtujXE7iFZk/P9HqDhmlYb/q8t3/LwHMTiPsoxmixrpbnjj/vi8x3M06n\n4iBzHumL2Y/0CfveSlCa3PmsIB6ek4g3I9Q5zqzy4+3dsOopvy179iN9Ql5CgRBG1Wa+yqrBQD2p\niM8j+rawFBEUK5J9DAtG9XPlWFbMcE4Q72uRyi9Kz3ldDPJqN6omynNQTwLyqlw9+D4/tG3Yyo3B\n3IQpTK5WkCeIjqrgl4yaFfDONWdq9k3B3w/1NvVz++A/Z2PxY/0tJeEVd+PO3s2x/aULA++AkYAw\n7q5z0CsC5+HzNNKINKiaFhAIZeaM7ItHz2+NF4a2M9TMtW1YNaRPHsstBOBs/ElR9e12DatiQOs6\naFm3Mibffy6WPBZqslG/CsKcWqlcsm66h8C5knyBNCl6fl2Cbs1qYvtLF6JTRg3MH9UvJBIRANKS\nk8I0u3qXL96D3EJ/W/VMXHZ88hrV8Avqoy9sHejDYy5tF2bKE4hXgXOgbpU01FSy73dpWgPbX7pQ\nV3lglcY1KyA12acbzCJrbGrZ9D0c3rMpJt1/bthc0apuZbRVkqmuejLoOyWPQ1aCZOTI4nv7tcDb\nV3fE0DPDzflW0BMIheaxu04exPpVymv0devjvpgXxZgi+keSxYWIFeJeKGtcs4KmCpgrQ7PR7VZP\nwkLK1ovOCXRCj2RULpechKrl/Rq3JjUror9G4IBYtaqdzNU3Rq9fRqsEhVulQpJ8DA2qlXcccSfj\npl+ADAtoWNVCWfDz18OD5kO1CaS9amLXa6X8mIQAl+RjSElWCdyM4SWTKNvuzWtaTs8gtCqpyb6w\nhU63ZjVxSYcGYc9bbpHPx0yFxLSUJNS1aBZQT9riXEZa1bObaE+yMkb9o1alcuipKsNm9t7Yfa8O\nnzSOUDRCrSn7496e+PTGzgD891Yduq/e/rVhHTD4jHpoWbcSzmhQVdOPTghryUkMYxSB047PZ8Nq\n5cN8osQ4bmQeVhPQlOmkk6kp9Wu1KVaNMPveem6zwPhavWIqbuieEdhGbrHQfEU72f1rwzrggnb1\nMPPhPri5h9wWhoWP9sPv9/QIETbkRXfr+sZjpZGQUlXlU2hnKhRaUcDfv4Z0bIg3r+qIT27ohO81\n8vPJY6IavXdHaH27N9NWdDBfuNBky5ytbFu1Qgo+uv5sfKoEucjtSYswACLuhbJIkFWODauVDyQl\n1LI7A7L50iNSmQVEzit1m9X98MEB2uka5L3OMlkha6GncXFL/hGDuBuPxK2ACT2KVYKx7FMma2nU\nGtl3rvZPgOIajQZ8IVy8d+1ZmPF/vVGnclrYxKi3+5mNq4X4EhqFgsvIh5cjijc9Pxjt0631mUfP\nb42ljw+wtK0WcqoFrpoqxP2KNChEHWCjRp2mwG2XgBKV9fI3G/kJrZj5ZYd99cTctmFVfHj92YF7\neHGHBmGJM8Vvek7oVtDzsa1iwedM3JdcRSiroJMSo46kQTJLpqrXZ/TewU9v7IRHBp2mm0vTLSqW\nS8b7152NprUq4qmLg+8pY34zfIdG1ULecztCYjRcWfqcVlvXf25gm7o4R6OutJFGVu9yHj7vNLx/\n3VlhCyR5P7VAJz4/MKAlbreRimbQGfUCmlAZIz9KK5RtoUyahGc90gejL2qD6Q/11vUtCfoGlULj\nNHCSWFKYKdWDrNwx1z0zCJeq1Mjy5kJjo+ejoUfPFrV01chaqzHhf2EH8QzdEJSjXZRWra0s0nP0\nD1yTaFfo7+I5dFA0aPKl39uvJaY80AttG1YN+HGpVf16l/nr3T3wgCScW70bsgb5Kknjpc5XZdQG\nn4/ZTtXx3a1dcXaT6mhTv0qItkDdFcRnqz4wernezMxe5VS+Vm7mD5QRfV0d9Sjz/W2hmgejZyH4\n5a7ugfQQTrTGg87w+682icDdQSxAjNAbB8VzfnBgKwzp2EDTNPbckDNCtIJO3/kQLZR0iPTqFXBP\n3xaeKHCt14TbzjUWRO341lrd8pou9nOEGt1DvZ9Sk324oF39kIbJASWMsbB9xecHBrQK8cmzc97Q\nbfwbCT9YuyS8UBYiXKh+k1+slCQfUpJ8htnOxWrTrnBihhV5Yu7IvoF8P3a4r39L3NWnechkCfi1\nMVYmKbltWpOMkfrfSFDSSuyoteoww82UGGq/G7dRO+6roy+FlkvcZr37JzQR/+nmd1oVTq9pKUlI\n8rGwDPtqdb3VCcNoM9nPMClkggr+bddHz+6z7NGiFsbddQ4m3X9uiCZFfZ/Fp+QkhobVyptGY/6o\nk/yZMeCFoe10c4ipzRby+/LuNWdqmmicILqF0eTZul6oicqKpqxO5TT0bOGfSKxojfsok46oTDK8\nRwbWPjMIDao51xJVr5iKDc8ODivdJS41LcVn6vtXu3I5vH31mSH5yGY/0gfTH+qN6yWzYyQwnb9j\njdwlZJOl3Eazkj9uLyYWPtovILAboRXpKCOn53AKQ/j1WblesYmVPJCA3/fObmWUQHsc7RUHWBF0\n7M7B6dUr4LELTsenBk7LkdC6fhVdp/9GNSqgmonTrBYVyyXjv4NPD4uYYozhjt5+Va3WgK11a7QG\naqMObfQMeuiolwUf/udsw98FYtXshvkyLcr1FdUlOQqLQj//cFs3rH1mUGCy1bumlsrgJDS6d/dp\ngfv7t8TVnY3N7mru7tMcX97cWbe9RgPQrEf6BtT0ds2+V5ydrmkajUQmTktJCiwQ1LdNaHp9jGH+\nqH4Y1im4QGnX0HpCaR9juLZrY3yk0zfLp+prJC/u0EDTROME0S+MlF/qXHdWNV+B6DIL2486vzUW\nPdo/EEHOGHMlz1/51KQwP0pxzf1P9wvEN3ZvYql6haBJzYqm5cXs4AVNmBYhgpjDJpotptrUrxJ2\nbD3n9ippyZajmi8/Oz0kD576HI+e3zrst1qVUvH8peH+hvK+8uLWx1jYOGPl1RCbWL2nVSukOHb4\nT1ihrIriAC+nwlDfT6OBZ74U0Xdhu2CuoNt7NUfDCFaCWgg79ne3do04x4ke6istl+zDQwNbYesL\nF5hmZhYO6fLtElmzDTOzG0hKcrJCLVKTzXt/oxrlA9oVtR+REyJ10DRD7VNWqEqSmprsT14b8F0M\n0/j4P99+bjP8dEf3QLLT8qlJeHBgK91BQG8gGTn49EBSYycIgTjg1wdzsxrgd1LWGqjdmujU/S5g\nBtbY9rvbumLxY/rJImXEc9Frprr/uB04oi5WbjR+qbVoVu+tuEYrQlmSj9nOs+gWzwxpG+avWppe\nJfLtjFbUthNCNGVRataf9/bE5jEXhHzXsVE1PHFRmxBnfsD64loL9aJQVh6I385pXitgMdDjWSlZ\nMmMamQYs3CirQUZu4H76co/w5MVt0KJOpZAaWeqX1uhhyILXe9ed5XbzQujVqrajpJV6+Fi435v6\nUsunJmna19VwcOzOyQUQjGq66ZyMQNI8owFJTyY7vV5lU1OVFVOW/HK5oSmraTNFil3ChDKT5LFB\nYUKlbvcxS6khBNGaMsQErtbEjb/7HOzIPhm2/dfDu2DOPwej1Jrg+xzeF/SlsoqpyZacyOXd9cYN\ntTY60tB4NUK7LIRfIy2106AVWVPGmDvvlRtoXarec3By5TMf7oO+r80C4Dd19n51luH2oZGN0aNR\njfLYdTjX8vahZtXotEwe8+VncEvPpti073jItmfrpA7RY+iZ6fh8/jbN3+QAEnUihBeGtgsJ4JCv\nvFXdyiF9OcynzEK7fr6zOxZvPeyqu4wecaspu69/S7yoUaJCUCUtBXf2bm4oNIiVfk0HDvTRItLV\nzdQHe2mWiVDXDmxWy1iVr9UO2VGdG2gfBE6c78VEZmVSkTdpZlKnzQpvXdUx4mMYYWa+FATzlPl/\nj1QL6NRHxGy3oFDm/ywur1alcji7SbjQ2KtVbYw20ZBGgl6X0eqrgcTLNm6N1v1Y8njwXVNHX7o1\ngPdsUSvELCheQx9j2DzmfM19nAplYuGQxJil4IBoE8iXa+UViECClBPo6kUJypSGcmzag70CZfms\nIgtJRu+vlfqnTggXeOzdqMcvDDdRCrTcbIRrwrVdG2OAQc1m2fzoxKcsvXqFsESy0SJuNWUPDdRO\n4WCEfOvH331OQLLWKyn0w23dsPeo9VWKG1SPUEBspVNyqVqFFKRXL4/RF7ZBflEx+mpketdCHudk\nc5r4y0jbqB4iv7+tK679ZLHh+d6+qiPemv6vpYKz8sv0+pUdMeWpKab7GOEk0ECPNvWrYP3eYyHf\nqc2R+poyofFRpzGJjnClRx+T6CFxXJHTqq0N/yw9zm9bLySthh2uODsdC7dk4+6+oWVctPrqV8O7\nYMehU7ZMplrbyhU5ujULjTR2qwTYtyqzZeW0ZOScKoSP6WfqT2IM21+6EBmjJto6V0Ao8zG/z5r9\nMpuu4KSvaz3nG7o3CdGgyETi/xYykUfJTtjSQfk8WVg0EjZeG9YBrw3rYLt/mBHpnUjyMST5WJhV\nQX1suzkAmaIqYwi3Dnlg7RFC3AplTpAfc5v6VZCWkoS1zwzSfTn10jlEkwcHtELjGhXw+K9rIzrO\n8icGhrygKUk+zPuv9cz3AVMQ/AEIG/YeC9H0yM7Teqg1ZdXKmwuc57erj/Pb1cfqrJzAd29d1REP\njF0JABjeo2lAvd1JUo1XKpeMmhVTkR1Bgk073Ne/Jd75+9+w79NSfFj55HlIS0kKG/DUKTHMal+q\n759TjZlTX60KOsk3BbL/0bi7zkELGzVg9fggAh+Uymkp+PiG8CAcLU1ZlbQUzWz7kdApo0bIwiNa\n2ohxd52D2ZsOBgSyymnJOJ5XFLKNUz8nWSjzEla6cPdmNbE662hIAuNndYqvL39iYGT5pLx1ewKE\naMpK4XxhC0e1psxBI2StVuixNDRlFo/ZvHZF/LP/hKamzC0z77e3dEXdKpEv7D0mI5Ye4rm4ES3k\nJmkpSbiua6jjYn0HzrQ1KqY6itbUQkQtCU0PY8AlHfw5gIwioIQM0rBa+UDYvFXkd13W/slzxZ29\nQzUikeRHsktaik+ziPflZ6Xr1ga0qilrGajf5k60WLTmV3FcH/On81Bn+/YKgeoeEdyHtc8MsrSd\nyCLftmGVkChPN2leuxKGS0lPZz7cB9/f2hVf3KQfSWsVsfBK8rGQQvfxwCODTsOsh/uElWXSokbF\n1IiKoJeWT1kkxCZANPKT6qWfkBcKgb90pDJ1K767tRs+v6kTUpJ8gXGrR4uaIeeLlJ4taznSbqop\nU0JZaThBus3aZwaZZhKPJpwDYkEpa8q6N/fXrFMXmg7d17/93JF9sXz0QDSo5hcuzUrqqNErPqte\nOX16Y+dAAXan2OkVWnmi5MFaLSSG+ZSpi1sqDG5bH3+M6BlIfhlpX42aw28gGjE+3iU790EtcNtd\nvEUrcawWtSqVwzktaqHv6XV0q5FYRdaUjRx8uhvNiwgzTchYVemeDAvF7d1A1rJpFXT3AqXxXoab\nCVW/R3BstWVAXlwGHf2t6cpqVy6Hfko6FaaY9m/t2Uw5rrfGL2+piaKM/Pg89hx0iZUmTyvkWxTU\nVk9uH1x3Fu76bnnYMYT5TexfrUJqWJRprUqpOHQi3OQosrtXKpccMugZPbcaFVNxQbv6mLRmn/5G\nLiL3p3v6Nsd7M7eEmBx/v6cHDhzPD3wWE95F7evjz9V7DX2O3DStyffs4fPs+2KaHdepJu6Vy9uj\nks0s/k5w4v99bktn2bhjHaz4wtB2eGFoMABqwoge2Hc0z/L+njFfWjy9EApKu73dmtbEff1aoEvT\nmqY5F+ORd685M6Cxt4MbT2HkoNMxZtKGsHJd8rwzoHVdDD2zIUYOPk27HRYa4oYGPRqUKaFMxmPP\nwdPc168lthw4gd6tamOjKuQZAM7TydZsNhnOHdkXlcol48znpoX91qx2JXx7S9ewQtFmqz/Z8doN\n2jWsijW7j2r+Jq6vR4uagWhWUXcP8AuhsglZTHhXd26Mdg2rYmCbuuj3+mxX26uFvBLs2syen2Tf\n02qjU0YNvDplk+5xna40r7SpMXWKMJ13bmovPD8SvDK+tE+vhvY2XNs6NamOqzo1woh+LaLXKCtY\nlG4DwSYuCGXNalXE1kPhqVy08PkYHjpPWyBIBC7u0MDRfnp1Je1wW69muE2jBqV8qLSUJLwZYbS8\n8B6xU1aqNCi7QpnHHoRX4eDIqFURv4/oiU/nbgUQvrLQGw/NaoQ2qlEhzM9KpqdGdQOzp6bOBO4G\netFAsupcmCqNChHLWog7VP5wVnAa8R+S3dpm4dYvbvab8YyEMq9Tv2p5THuwV6mYttSOz/FGcpIP\nL5uUofISoge6kX5kyoO9XKmhWxaxkiIpUuxoQ624Kojx2EvJf4Ey7FNGGJOh5OppaiFnjyzgyvXL\nrExQtud1k+31nOwjQW8VHih3wxg6ZdTAj7d3w739tdOrAM5NQ5HKPvLzcXPKCTjkxsGL1bKuecJi\nNwjc33i4KR5GVAow89cStzmiSEqIY/hMq5sQoZhFW7r5FrjtuyfmJ69pysqUUBbiUxazVsQH57et\nh1/u7B5SyNzKIlJOsGdl1WlXYxmLAA2t/FsMLEzA6daspuHEL/zEatmsHCBKhsnlvuwgy4BuKgKC\n+dTcO2aiQONLZPRqVRvf39Y1LMI6HP+d1svXVlZ45fL2aNuwivmGUSaa47OdBbeVaaU44PPstEXR\noQybL2PdAm/DFO2PzIXt6+OD2Vs0I7zKJftwr8oPxc3JOpYlXz6/sTM6PDs17Hux0rIqWD56fmtc\nfla6YcSqFlXLp2DVk+c5doqXW9fchcoHAjGYkcmHiAbnNA93X1BH2wU0ZR4zQZU2V3Zu5MhHs039\nKkiJoByY+tV3I09ZaSFXxvASZUooC0mJ4bEHEQ80qFYey58YqPnbpufDy724OVn7GEMx59F/yTVC\nvPXybwUyiFs8dGqyz3HW+0hygLWuXwUzNx3E7/f0QB0XC+sGCqeTTBYg6ONE40tpELjfLtcZLStM\nuv/cWDfBEL3ofDewkgA9FpQpoUzMHe1cKAdDmOOqpsy9Q9nC6BoKi/zhO25EfkWThwa2Qr/T66BD\no2quHpcFhDKSygQd0qvhtnOb4qY4S7waL6jNY6IPev0dTFRMfcoiFHjmj+qH00b/Ffj88fVnY/8x\n6ylejPBM+hcVZUooE7SpH3vbe1nATSFgeM+m+HjO1tAEgq4d3RnCf8xtYcdtkpN8YaZoNwgWIk9M\noaxhtfLYnaNd+7Z1/SoY0Dq8fqzPx/D4hdErul7WCTNfKv+7HcSx8kltiwARStem/hQ7g5S0SG5b\noNSBF3rpl9RY8ikrIU1ZzPHWrU98XrysnflGFnn0/NMxavDpeGv6P4HvSqOsktH72ue02vj0hk6W\ni7snGonu6N85ozp2r9QWyiZ73OxTVhBdz22hzK0SdV7Bbpk7q5xWr3JIQvB4mmOD0fOxbYeaMiWU\nJejc4VncTE/BGAsRkB4Y0DLmfoGMMQxoUzembYglwcLppXveqzs3IpNpGUVtvixSMoCSD58xw84u\nnUTNXlE6WcpTRj5lBBF/0NwfjkhTECufspcuj5/kpvFO+/SqWJ2lXdEiFqjNl6J+bGnkoIsV9/dv\niYxakVkFSitBqhCGUpN8WDp6gCvHHN6jKcavyHLlWDLCt7zv6c5KqkWLMiWUeUseJiIhXgrKJwpb\nX7gAL/+1Edd3b4L06v4J4qL29bFk22E0qhF9M3IsiLUm1gv8encPT2gl9d73woCmLHGFsgcHulev\nNtoI2S/Jx1C1vDsm0ycvboMnL7bnp2nl1W3bsCo2Pjc4KgnHI6FMCWWxH1qskzl6gOfUqmURegR+\nfD6GRy9oHfLd9d2aYNjZjVA+1VuDmlskagCDHZJ8DEkeWACpNWSCohIlAprMl94gzh6D1wQyoIwJ\nZYJ4mGhrVSoX6yYQBsRDH4o2jLGEFciI+KAsmC/jCaHRjPX4GM/Dc5nsybQAjl9i/ei8nv6CIOKB\n9un2ckWamy/jeRpOHGItjCUCEQlljLEajLFpjLF/lf+r62x3o7LNv4yxG6XvZzHGNjHGVir/ymZu\nAcI2sXr5uzV1P98X4U1ivQBIVJY83h9jb+/uyrGEf+NZjTWnHqKUYar/Y0U8+4NGar4cBeBvzvlL\njLFRyuf/yhswxmoAeApAJ/jHuWWMsQmc8yPKJtdxzjMjbIct4vh5ETGGJuqyQ6PqiRnAEGvqVHav\n1FfHRtUw/aFeaG6zniwRHYQwFM9CUayJ1Hw5BMBXyt9fAbhUY5tBAKZxzg8rgtg0AIMjPG9EkPmS\nIAgz7h/QMtZNICzQok5lEgI8gleeglfa4YRIhbK6nPO9AKD8r2V+bAhgl/Q5S/lO8IViunyCRfnN\niucHRcQGdZ+hPlR2IOdx70ELam8jZnAaJ51jar5kjE0HoFVw6nGL59B6PuLVuo5zvpsxVhnAOADX\nA/hapx23A7gdABo3bmzx1NonJeKXaA/K6s6qPh31IYIgCG28kj8ynhWnpkIZ51w3LS9jbD9jrD7n\nfC9jrD6AAxqbZQHoI31OBzBLOfZu5f/jjLHvAXSBjlDGOf8YwMcA0KlTJ5obiZgSx+88QcQt8TzZ\nlgm84ukfx0Sqn58AQERT3gjgd41tpgA4jzFWXYnOPO//27v3KDnKMo/j318uJEBCQAgxEiIQ7gIC\nCQSIIBpzUEEFuSpyUdAVD6CCK7uIrAsssouCsopKEEF3VS6CsOjRhSx7EFxcguKNFQFB5SJyv8gR\nJHn2j/dtGGJPpmd6puvtqt/nnDkzXV3deZ68VV1Pve9b1cD3JU2QtA6ApInAXsAvuoxnpbyd2HB5\nmzErh4cvC1dI+/TzHMNui7IzgEWS7gAW5cdImifpfICIeBQ4Fbg5/5ySl00iFWc/A24F7gMWdxnP\nShWyvdgo6PUud9AO6/PZg7Zl5zlrA7D9K30JvplZO/1bElWvq1tiRMQjwMI2y5cCRw54fAFwwQrr\n/AmY282/bzbWWoX8wC/Bvu2UPVhtlUZ+GYZZpfq4A6QRBvs6LOtco44s3p+bYcHGa3PjnY+M2fu7\nIGuOH5240IVAQTx8WbZW+/Tz8GHVGnXNt/fn/tfJmdi/H7kTu206fVjvO9jXtPijpdlmrDF5VG92\naiPjY3x/cXuNXCNP+b3B9L+h2jCGcUp97sHbs+XMNTp6XzPrPfeQ9Ycpk1NJccIbN684kv7VyKLM\nO3j/G802fPPWM0fvzczMGmri+HHcc8aeVYfR1xo1fGlmZv3HPdjWFI0syryD96+Z01YFYMa0sZnn\nM/tl/hJqMzOrRiOLMg9f9q937jibxYfOY/+5s1a63sA2njN99Y7ff9dNpnPV0QtGGp6ZmdmINbIo\ns7JMmjCOD+w+p6N1x40Ti7acMaxLrp9btvyFvz/25i341lG7rHT9bWat+eIDd6uamVmPNHKiv4+z\nZbn9tDeN6fs/9/yLRdl7d9voJY8Hc/o+W3PiFT93t6qZmfVMI3vKfJytv4H3M3t2hSKsk6J8i5lT\nRzskMzOzlWpkUWbN0knP2KDcrWpmZj3i4UsbdSftuQU//t1jlcYwsDd0xZ4y95SamVmJGlmU+aA8\nto7cdaOqQ3iJXeaszQ/ueLjqMMysS/7strpr1PClO8ia59S9t+JLh8x9ybJVJozjpD23qCgiMzOz\n9hpVlPkkqzlaZ9QbrbM6q63y1x3CpfXmmdnQPPXE6q5RRVmLd+z6a1196aY2qw8PX1rdNbIo845t\nQ/EmYmbW36ZPnVR1CMPWyIn+ZmbWfzzKYZ36+pHzmbPulKrDGLZGFmXesevvhd7QEba1NxGz8niU\nwzq1y8brVB3CiHj40mpNIyyvvImYlcMnSdYUjSzKzDrlg4FZ9XySZE3RyKLMw5f15w9xMzPrN40s\nyjx82RwuwM36n3dja4pGTvS3Blih8N5k3Sm8eeuZ1cRiZmbWgUYWZe49aY5WU19z3Gv/6rnNZkzl\n9gef6m1AZmZmg2hkUWYGcOXRC3j2+eVVh2FmZga4KLOaig6m+k+eOJ7JE8f3IBozGw2d7Ndm/ayR\nE/2t/loXc6jwseodNlir6hDMzKwQ7ikzq9Cl79+l6hDM+sZIbwZt1i8a2VPmW2LYULyNmJXHw5dW\nd40syqz+XvjqS59Ym5lZn2hkUeYDdf2NH5caeaRN7W3ErDwevrS6a+ScMg9N1d/ZB27LBTfczXaz\nRzaR3tuIWXk8fGl118iizOpvvTVX5eN7bdn1+7jHzKx63g+tKTx8aWZmRXPPtTVFI4sy7+DWKW8r\nZmbWK10VZZJeJukaSXfk320n8Ej6nqTHJV29wvINJf0ov/5iSat0E4+ZmdWPRzesKbrtKfs7YElE\nbAIsyY/bORM4BSu9NwAAD4ZJREFUpM3yfwbOzq9/DDiiy3g64h3cOuVtxax67rEemb22mck2s6ZV\nHYYNQ7dF2duAi/LfFwF7t1spIpYATw1cpvT9N68HLhvq9WZmZjY8n3vn9lx19GuqDsOGoduibEZE\nPACQf687jNeuDTweEc/nx/cC63UZj5mZ1Yx7rK0phrwlhqRrgZe3eepjXf7b7XazQTupJb0PeB/A\n7Nmzu/ynzczMzMoyZFEWEW8Y7DlJD0qaGREPSJoJ/HEY//bDwJqSJuTeslnA/SuJ4zzgPIB58+Z5\nhoGZmZnVSrfDl1cBh+W/DwOu7PSFERHAdcB+I3m92dhy3W9mZr3VbVF2BrBI0h3AovwYSfMknd9a\nSdIPgEuBhZLulbRHfuoE4DhJd5LmmH25y3jMRpWnspiZWa909TVLEfEIsLDN8qXAkQMe7zrI638D\n7NhNDGZjyf1lZmbWK428o7+ZmZlZaVyUma2Ehy/NzKxXXJSZmVlf8J39re4aWZR5x7ZOeVMxM7Ne\naWRRZmZm/cd39re6a2RR5h3bOuVNxawcHuWwumtkUWZmZmZWGhdlZm34jNysPB7lsLpzUWZmZn3B\nJ0tWdy7KzNrwGblZSbxDWjO4KDNrw2fkZmbWay7KzFZC7jIzM7MecVFmthLhLjMzM+uRRhVlM9aY\nBMDstVerOBIzM+vUxPGpx3ryxPEVR2I2tiZUHUAvvX7zGXz1PTuyYON1qg7F+oSHL82qt/tm63Ls\nwk14z4INqg7FbEw1qigD2G3T6VWHYGZmwzB+nDhu0aZVh2E25ho1fGlmZmZWKhdlZm1std40Xj1r\nGifvtWXVoZiZWUM0bvjSrBOTJ47nyqNfU3UYZmbWIO4pMzMzMyuAizIzMzOzArgoMzMzMyuAizIz\nMzOzArgoMzMzMyuAizIzMzOzArgoMzMzMyuAizIzMzOzArgoMzMzMyuAizIzMzOzArgoMzMzMyuA\nIqLqGIZN0kPAb6uOYxSsAzxcdRCjxLmUqS651CUPcC6lci7lqUseAK+MiOlDrdSXRVldSFoaEfOq\njmM0OJcy1SWXuuQBzqVUzqU8dcljODx8aWZmZlYAF2VmZmZmBXBRVq3zqg5gFDmXMtUll7rkAc6l\nVM6lPHXJo2OeU2ZmZmZWAPeUmZmZmRXARZmZmZlZAVyUWcckTaw6BjMzs7pyUTbGJG0vae2q4+iG\npJ0kfRM4U9JWVcczmiSp6hi6JWl8/l2HXGrxmVSHtmhpbV91IGla/t3X25mkl+fffb+dSXqVpMlV\nx1GKvt4wSyZpO0nXAj8CJlQdz0hJ2h/4AnA1MBk4Li/vyw8DSTtLOkfS4QDRx1e6SFog6SLgJEkv\n69dcJO0o6ViAiFhedTzdkDRf0mLgBElD3r27ZJLmSfoacLKkOVXHM1KSxklaQ9LVwDnQv9tZPq4s\nAU6Fvv/82kbSDcBpQF93XIwmF2WjTNIkSV8EFgPnAtcDe+bn+rGQ2QT4j4j4N+BsSMOY/fhhIGk/\n4HPAzcAbJJ3Wrz1/kjYibV/XAa8ETpW0Z7VRDZ+kDwFXkArLN+VlfdczI2m8pE+SLuG/Edge+AdJ\nM6qNbPhyEfM54EvAEmAm8AlJq1Ub2cjkAuwpYCKwnqQDob96y5ScDXwVuCgi3lt1TKPgJOCyiNgn\nIu6Dvj1Gjqq+2Sj7yEzgFuA1EXE58J/A2pLUD4WMpAMkHSdp57zoduDtkj4K/A/wCuDzknaoLMiR\nexVweUR8DfgIMB/YX9Ka1YY1InOB/4uIC4HjgVuBvSStX2lUw3cnsBdwFPD3ABGxrA8/nMcBvwP2\nz23yIWAnYNUqgxqJXMT8F7Aw5/IvQADPVxlXlzYnfYfiZ4CDJU2NiOX9sp3lY8cU4CcR8VUASXP6\nqbBsyUX/HODpiPhMXrYofw7XZirGSPVdg5YoFzIfkbRjRNwTEYsj4s/56SnA+hERJfcA5DP9k4ET\n8qLFkt4KXA58ENgNODQi3gg8BOzbmtdQqjYF5qPAJEnTIuIPwIPAbNLBs2h5Xt+mAxbdDMyStH5E\nPEbqnXkc2KeSADvUJo/vAD/Lv59uDWOSP5xLtkIuy4FvRMSvJU2KiPuBe0lfqFy8FdslIi6PiMcl\nLQKWkk42T5e0RWVBdmhgLgMO7ncCzwF355/DJM0u+US5zb5yPDBf0scl3QicCVwoaW41EXZuYC65\n6P8jsKukPSV9m3SSfA7wt3mdYttlrLko68IKhcxy4MuS3p6fa/3ffht4q6TVImJZRaEOKce2GXB8\nRJwF/APwYWDTiFgC/JnUawZwJbAN8KcqYh3KIAXmHsD/AjOA8yVdQjrwPw0UO2lW0pqSvgNcAxwg\naUp+6s/ADcAB+fHtwG2kXtniJs22yWP11lMRsSyfxHwaOELSOhFRbK9MuzbJOTwOEBHPSpoKbAjc\nX2WsQxmsXQbsC48B74yIRcAzpGKmyCHZdrkMOLjPA56MiF8CvyR9vn1B0sTSepsGa5OIeBL4PLAv\nqVf5HcADpBPkIucvriSXp4CvkObGXRARewDnAztJKv4keSwVtTH2m0EKmaMlbTFgIulDpKGAzSsK\nc1CSDpX02gHDdw8Ca0maEBHfIn14HZR7xO4C9svrbUcqCorUpl0+QTrLfIr0YXYZ8L2IeAfpQow3\n5deVeHa2OvB94Jj89255+UPATcDWuYd2GXAfsGBAL21J2uaxwoTr/ybldAykCwB6G2LHVsxl1zbr\nzAd+GRH3S5oiaZNeBjgMg7VL5N9LI+K7ed3vkvb9ZyqIsxOD7SuQhpanSroY+ChpismvI+IvBU76\nHzSPiDgHeF1EXB8Rz5JO+ufRn21yNbABsFZ+vJR0DHq2h/EVx0XZMA1RyFxO6q04YMDZ19PAxqQ5\nGZX3xuQJozMlXQccBhxMmiM2hTTnYmvSkCukSfH7AMtIc+N2kHQTsD9wYj7bKcIQ7XIZcAdwYEQ8\nGhEXR8QFeb3NSB9sxRiQyxp5Aux5wCWkQnhHSevlIuwm4CfA2bn9XgX8ToVMyB4ij/mSXpHXE7xQ\nTJ9GunLxCWD7qveXlmHk0rrSek3g95LeTRpq3raKuNvpNJc25pJ6ZorpxRxGLmsB04E/kArLo4DN\nShmOHU6b5OkKLXNJw+TFjMJ0kMt6ABHxM9Jw5dGS1gHeBWwFPFJR6EXwd192IB8YXg58nTRMeRep\n6v8b4FjSLS/OyXMwNiNtgG+MiAfy668AboiIT1cRf4uk8XkS9abAyRHxrnwQOQeYROpNuhj4J2Bp\nRDwj6VLguog4Nx/4N4yIn1eWxADdtIukhaS87waOiojfV5FDy0py+WBEPJzXWUAarlyaL1ZovfYs\nYBbpKsxDI+J2KjLMPG7OV/W2hvs3Ig1pPAd8qOrtbKS55OVfI53wXAScnQ9AlemiXdYg9fqdTipo\njo+IX/c+gxeNdF/Jw+Kt56cAq0TEoxWkQI5hpG0yCdgZ+BSpSO7bNsnLjyPt+5sAH46I23ocflHc\nUzaEXMgEMBW4LyIWAh8AngA+S7otwQJgG6V5Y7cDvyL1JrUcVmVBJmmCpNNJE3VfS+odWgaQ5+4c\nDbwFWI+0Ux2UH0M6QN6S13266gNlSxft0pqDdQ9wUkTsVUBBNlguj5LOMgGIiBtJcW8maZrSvCVI\nZ5tHRMT8iguy4eaxec5jtTyE9CTpZGFh1dvZCHNZQy/O+fsOcEBEvLuAgmyk7TI5z2MK4LSIeEsB\nB/+R7iurR8TDSvNNx+XPsioLspG2yap52PI5+r9NpublZ5GKsT2aXpCBi7JBdVnIPE+aq0Re/8ke\nhv4SOfZbSN33d5ImVv4FeJ3ynJ18QPxH4MyIuIg0VHmopJ+QepuKKMRgVNrlprzuXRFxRY/Df4kO\ncjkW2Dk/17KYNLx8DXCnpFdEmmRe2VDyKORxt6RZEfHHiLiux+G/RJe5LAHukjQzIr6Zh80r02Uu\n1wK/zdvXtRFxZY/Df4lR2MZ+M2BfqWwO2Si0yT05jx9GRKXTLkbr8yuv/5eeBl8wF2Vt1KyQWQ58\nKiKOiojFwC9IV4WdTLpTf2vo6FvAM0q3WPg2cASwb0QcGBFFTCKtU7t0mEsAp5AuVGjZk3QW+lNg\n60i3XqjMKOZxbw/DbmsUcrmVlMsDPQy7rVHMpfKrR72vuE0aJSL8s8IP6WqqQwY8Ppc0MfRw4Ja8\nbBxpDP0y0n3IyI83qjr+FXJZjTRfbHx+fDDwyfz3rcAx+e95pPssVR5zQ9plOLlcAmyQl70N2K3q\n+OuWh3NxLs6jmbmU9uOesvZuAS7Rizd7vRGYHenu1uMlHROpR2YW8JfIc5Ii4g8R8ZtKIh5ERDwT\nEc/Gi/dIW0S6nQLAu4EtlL4T7hvAj6uIcRhq0y4ML5dlEXEPQERcGRHXVxHwIOqSBzgX5zK26pIH\n1CuXorgoa6NmhQzwwg1Vx5FunnpVXvwUcCJwBrB7RJxZVXydqFO7jCQXqYzbQwxUlzzAuTiXsVWX\nPKBeuZRmwtCrNFc+CwjaFzJbAXdH/iLVPrAcWIV0L7JtJH2GdD+YYyLihkojG6Y6tctwcomIYu9f\nU5c8wLmUqi651CUPqFcupXBRtnK1KWQiIiRtR5pTtiHwlYj4csVhjVRt2oX65FKXPMC5lKouudQl\nD6hXLkXwzWOHoPQ9XD/MP/1cyCBpFnAIcFake930rZq1Sy1yqUse4FxKVZdc6pIH1CuXErgoG0Kd\nCpk6qVO71CWXuuQBzqVUdcmlLnlAvXIpgYsyMzMzswL46kszMzOzArgoMzMzMyuAizIzMzOzArgo\nMzMzMyuAizIzaxRJn5D0kZU8v7ekLXsZk5kZuCgzM1vR3oCLMjPrOd8Sw8xqT9LHgEOB35O+o+8W\n4AngfaQ7kt9JutfStsDV+bkngH3zW3wemA48A7w3In7Vy/jNrBlclJlZrUmaC1wIzCd9tdyPgS+S\n7j7+SF7nNODBiPhXSRcCV0fEZfm5JcD7I+IOSfOBT0bE63ufiZnVnb/70szqblfgioh4BkBS64uT\nt8rF2JrAFOD7K75Q0hRgF+BSSa3Fk8Y8YjNrJBdlZtYE7YYELgT2joifSjoc2L3NOuOAxyNi27EL\nzcws8UR/M6u764F9JK0qaSrwlrx8KvCApInAwQPWfyo/R0Q8CdwtaX8AJa/uXehm1iSeU2ZmtTdg\nov9vgXuB24A/AR/Ny34OTI2IwyUtABYDzwL7AcuBLwAzgYnANyPilJ4nYWa156LMzMzMrAAevjQz\nMzMrgIsyMzMzswK4KDMzMzMrgIsyMzMzswK4KDMzMzMrgIsyMzMzswK4KDMzMzMrgIsyMzMzswL8\nP58L+AQpBxvyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fbc8650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot log_returns\n",
    "\n",
    "# log_return = log(pi/pj) = log(pi) - log(pj)\n",
    "log_pj = list(np.log(price_daily['close']))\n",
    "log_pi = log_pj[1:]\n",
    "log_pi.append(0)\n",
    "assert len(log_pi) == len(log_pj)\n",
    "price_daily['log_ret'] = np.array(log_pi) - np.array(log_pj)\n",
    "price_daily = price_daily[:-1]\n",
    "price_daily.plot(x='date',y = 'log_ret')\n",
    "plt.title('MSFT Log Return')\n",
    "# plt.savefig('msft_log_ret.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mu for daily price log return is:  0.000307789248863\n",
      "sd for daily price log return is:  0.0174377434868\n"
     ]
    }
   ],
   "source": [
    "sig_0_daily = np.std(price_daily['log_ret'])\n",
    "mu_daily = np.mean(price_daily['log_ret'])\n",
    "print \"mu for daily price log return is: \", mu_daily\n",
    "print \"sd for daily price log return is: \", sig_0_daily"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(22088, 1)"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price = pd.read_csv('msft20150102priceallday_filtered.txt', header = None, names = ['Datetime','Price'], index_col = 0)\n",
    "\n",
    "price.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x121440b90>"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JiIiixowmDZmx3vH7F8+0PD97fH7IsUTt4s60KRACIZt9AOCs6aUAtHWcwePrr7MRERER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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122e66250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot prices\n",
    "\n",
    "%matplotlib inline\n",
    "import seaborn\n",
    "seaborn.mpl.rcParams['figure.figsize'] = (10.0, 6.0)\n",
    "seaborn.mpl.rcParams['savefig.dpi'] = 90\n",
    "price.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cyf/m5/LGT8bw0+e+5IQ+7Xhz0WY6Z2fxyo9PoGGDwLmv0jLHuX+ZzfdG9+T+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\n4H8BUeZg/WH+xZAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121440090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot log_returns\n",
    "\n",
    "log_pj = list(np.log(price['Price']))\n",
    "log_pi = log_pj[1:]\n",
    "log_pi.append(0)\n",
    "assert len(log_pi) == len(log_pj)\n",
    "price['log_ret'] = np.array(log_pi) - np.array(log_pj)\n",
    "price = price[:-1]\n",
    "price.plot(y = 'log_ret')\n",
    "plt.title('MSFT Intraday Log Return')\n",
    "# plt.savefig('msft_log_ret_HF.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8.73201841086e-08\n",
      "7.95384050606e-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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wJyIlI9YSLHWy/Zi7dMudwp2IFD6FOxEpGU3xBLB9y12kzBhUEdGEChEpCgp3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\nhUJxGqHEnUKhUCgUCsVpxP8AogY1eREfYIkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1200adb10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fattail on msft hf data\n",
    "sig_0 = np.std(price['log_ret'])\n",
    "mu = np.mean(price['log_ret'])\n",
    "print mu\n",
    "print sig_0\n",
    "price['normal_log_ret_msft'] = list(mu+sig_0*np.random.normal(size=len(price)))\n",
    "fig, ax = plt.subplots()\n",
    "# sns.distplot(price['log_ret'], ax = ax)\n",
    "# sns.distplot(price['normal_log_ret'],ax = ax)\n",
    "sns.kdeplot(price['log_ret'],shade=True,ax=ax)\n",
    "sns.kdeplot(price['normal_log_ret_msft'], shade=True,ax=ax)\n",
    "plt.xlim(-0.001, 0.001)\n",
    "plt.title('Intraday MSFT Log Return VS. Normal Distribution')\n",
    "# plt.savefig('Intraday_MSFT_logret_vs_normal_big.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UiMFKkiSpEIOVJElSIQYrSZKkQgxWkiRJhRisJEmSCjFYSZIkFWKwkiRJKsRgJUmSVIjB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\nZOYtwPROxccBF9TXLwDe3lB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dd6cf90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# test for autocorrelation on MSFT high freq data\n",
    "\n",
    "y = price['log_ret']**2\n",
    "y = y - np.mean(y)\n",
    "norm = np.sum(y ** 2)\n",
    "correlated = np.correlate(y, y, mode='full')/norm\n",
    "idx = np.argsort(correlated)[-1]\n",
    "# np.corrcoef(y)\n",
    "# print 'highest correlation is at index ', idx, 'which has value: ', correlated[idx]\n",
    "plt.plot(correlated)\n",
    "plt.title('Correlation on Squared High Freq MSFT Log Return')\n",
    "plt.savefig('corr_msft_intraday.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5Yu/IuN+H8y2wHX3hAEA+2kvBqbtNCtoU/UXBFZzIjZ8raG+1WEG703QXtwCtpsnTixZ0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e393fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# zoom in\n",
    "# test for autocorrelation on MSFT data\n",
    "\n",
    "y = price['log_ret']**2\n",
    "y = y - np.mean(y)\n",
    "norm = np.sum(y ** 2)\n",
    "correlated = np.correlate(y, y, mode='full')/norm\n",
    "idx = np.argsort(correlated)[-1]\n",
    "plt.plot(correlated)\n",
    "# plt.xlim(2600,6000)\n",
    "plt.ylim(0, 0.3)\n",
    "plt.title('Rescaled Correlation on Squared High Freq MSFT Log Return')\n",
    "plt.savefig('rescaled_corr_msft_intraday.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting GARCH to daily_price return...\n",
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: -6038.98432806\n",
      "            Iterations: 13\n",
      "            Function evaluations: 120\n",
      "            Gradient evaluations: 9\n",
      "                     Constant Mean - GARCH Model Results                      \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                      -0.000\n",
      "Mean Model:             Constant Mean   Adj. R-squared:                 -0.000\n",
      "Vol Model:                      GARCH   Log-Likelihood:                6038.98\n",
      "Distribution:                  Normal   AIC:                          -12070.0\n",
      "Method:            Maximum Likelihood   BIC:                          -12047.2\n",
      "                                        No. Observations:                 2213\n",
      "Date:                Tue, May 08 2018   Df Residuals:                     2209\n",
      "Time:                        13:59:21   Df Model:                            4\n",
      "                                 Mean Model                                 \n",
      "============================================================================\n",
      "                 coef    std err          t      P>|t|      95.0% Conf. Int.\n",
      "----------------------------------------------------------------------------\n",
      "mu         5.2352e-04  7.851e-05      6.668  2.586e-11 [3.696e-04,6.774e-04]\n",
      "                              Volatility Model                              \n",
      "============================================================================\n",
      "                 coef    std err          t      P>|t|      95.0% Conf. Int.\n",
      "----------------------------------------------------------------------------\n",
      "omega      6.3587e-06  1.478e-12  4.302e+06      0.000 [6.359e-06,6.359e-06]\n",
      "alpha[1]       0.0500  2.567e-02      1.948  5.144e-02  [-3.131e-04,  0.100]\n",
      "beta[1]        0.9299  2.306e-02     40.321      0.000     [  0.885,  0.975]\n",
      "============================================================================\n",
      "\n",
      "Covariance estimator: robust\n",
      "num_train is:  2213\n"
     ]
    }
   ],
   "source": [
    "# fit GARCH model\n",
    "\n",
    "def fit_GARCH(returns, num_train):\n",
    "    garch11 = arch_model(returns[:num_train], p=1, q=1)\n",
    "    res = garch11.fit(update_freq=10)\n",
    "    print(res.summary())\n",
    "    \n",
    "print \"Fitting GARCH to daily_price return...\"\n",
    "returns = np.array(price_daily['log_ret'])\n",
    "\n",
    "num_train = int(len(price_daily)*0.8)\n",
    "num_sim = int(len(price_daily)*0.2)\n",
    "\n",
    "fit_GARCH(returns, num_train)\n",
    "print \"num_train is: \", num_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting GARCH to high frequency price return...\n",
      "Inequality constraints incompatible    (Exit mode 4)\n",
      "            Current function value: -143675.167311\n",
      "            Iterations: 1\n",
      "            Function evaluations: 6\n",
      "            Gradient evaluations: 1\n",
      "                     Constant Mean - GARCH Model Results                      \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.000\n",
      "Mean Model:             Constant Mean   Adj. R-squared:                  0.000\n",
      "Vol Model:                      GARCH   Log-Likelihood:                143675.\n",
      "Distribution:                  Normal   AIC:                          -287342.\n",
      "Method:            Maximum Likelihood   BIC:                          -287311.\n",
      "                                        No. Observations:                17669\n",
      "Date:                Tue, May 08 2018   Df Residuals:                    17665\n",
      "Time:                        14:00:07   Df Model:                            4\n",
      "                                  Mean Model                                 \n",
      "=============================================================================\n",
      "                 coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "-----------------------------------------------------------------------------\n",
      "mu         1.5882e-22  2.150e-07  7.387e-16      1.000 [-4.214e-07,4.214e-07]\n",
      "                              Volatility Model                              \n",
      "============================================================================\n",
      "                 coef    std err          t      P>|t|      95.0% Conf. Int.\n",
      "----------------------------------------------------------------------------\n",
      "omega      6.1064e-10  3.282e-12    186.086      0.000 [6.042e-10,6.171e-10]\n",
      "alpha[1]       0.0500  7.054e-03      7.089  1.354e-12 [3.618e-02,6.382e-02]\n",
      "beta[1]        0.8500  7.219e-03    117.752      0.000     [  0.836,  0.864]\n",
      "============================================================================\n",
      "\n",
      "Covariance estimator: robust\n",
      "\n",
      "WARNING: The optimizer did not indicate successful convergence. The message was\n",
      "Inequality constraints incompatible. See convergence_flag.\n",
      "num_train is:  17669\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda2/lib/python2.7/site-packages/arch/univariate/base.py:524: ConvergenceWarning: \n",
      "The optimizer returned code 4. The message is:\n",
      "Inequality constraints incompatible\n",
      "See scipy.optimize.fmin_slsqp for code meaning.\n",
      "\n",
      "  ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    "# GARCH model on high frequency intraday price log return\n",
    "\n",
    "print \"Fitting GARCH to high frequency price return...\"\n",
    "\n",
    "num_train = int(len(price)*0.8)\n",
    "num_sim = int(len(price)*0.2)\n",
    "\n",
    "returns = np.array(price['log_ret'])\n",
    "fit_GARCH(returns, num_train)\n",
    "print \"num_train is: \", num_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get parameters from the above table\n",
    "\n",
    "params_intraday = [6.1064e-10, 0.0500, 0.8500]\n",
    "params_daily = [6.3587e-06, 0.0500, 0.9300]\n",
    "\n",
    "# fig = res.plot(annualize='D')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# out of sample test\n",
    "\n",
    "def test(params, data, num_sim, num_train):\n",
    "    [omega, alpha, beta] = params\n",
    "    data = data[:num_train]\n",
    "    sig = np.std(data)\n",
    "    mu = np.mean(data)\n",
    "    # initialize with last return and past sigma\n",
    "    res_r = [data[-1]]\n",
    "    res_sig = [sig]\n",
    "    \n",
    "    def get_next_sig(sig_curr, ret_curr):\n",
    "        return np.sqrt(omega + alpha * ret_curr**2 + beta * sig_curr**2)\n",
    "    def get_next_ret(sig):\n",
    "        return np.random.normal(mu, sig, 1)\n",
    "    \n",
    "    for i in range(num_sim):\n",
    "        sig_curr = get_next_sig(res_sig[-1], res_r[-1])\n",
    "        res_sig.append(sig_curr)\n",
    "        ret_curr = get_next_ret(sig_curr)\n",
    "        res_r.append(ret_curr)\n",
    "#     plt.plot(res_r)\n",
    "#     plt.show()\n",
    "    return res_r\n",
    "    \n",
    "\n",
    "# plot the simulated result together with the actual value to compare\n",
    "def plot_sim_res(data, res_r, title, num_train, savename, save = False):\n",
    "    num_siz = len(res_r)\n",
    "    plt.plot(data[num_train:num_train + num_sim], label = \"actual\")\n",
    "    plt.plot(res_r, label = \"simulated\")\n",
    "    plt.legend()\n",
    "    plt.title(title)\n",
    "    if save:\n",
    "        plt.savefig(savename+\".png\")\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iShHREv1zi7XO8UT0ql7nRiKiapRVEGzsBl2ausowpy7rDK9kqUYcusP1uKHC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LjPxpS1pAi7xFXKReIB7pbn2YVlWhjUT9qptQcYQCpDm+WZxPq9RY7hNz3DD4M2QIBm1kyd4UDW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\nrNGPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e9353d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# out of sample testing on daily price data\n",
    "# where the first 1000 data points are used in building GARCH and \n",
    "# do a simulation of 500\n",
    "\n",
    "data = price_daily['log_ret'].tolist()\n",
    "\n",
    "num_train = int(len(price_daily)*0.8)\n",
    "num_sim = int(len(price_daily)*0.2)\n",
    "\n",
    "res_r_daily = test(params_daily, data, num_sim, num_train)\n",
    "title = \"Daily Return Fitted-GARCH Model Simulation Result\"\n",
    "plot_sim_res(data, res_r_daily, title, num_train, savename = \"daily_return_sim\", save = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6eJQHIvoMgJOZebgUFieIiAHsxyLkfjjbcTuAXzNzR7LIe3h4eHjs+PBKnEfbIKI9iOhN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\npyMT2RFA4pxR0PVesU7xZe8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edZgkrkvmKHIRtLAOjHtF9jGtIFeJ00lbPf0dyUGlpTxx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fy8WRu463PAPZ9Xn138J7ht89vR5oSzv9CFxMi1EfvsQ8DRzx+W1mz+IB7YECWsSgHLjUbRqXGl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\nAQxbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121451c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = price['log_ret'].tolist()\n",
    "\n",
    "num_train = int(len(price)*0.8)\n",
    "# num_sim = int(len(price)*0.2) # too many\n",
    "num_sim = 500\n",
    "\n",
    "res_r = test(params_intraday, data, num_sim, num_train)\n",
    "title = \"High Frequency Price Return Fitted-GARCH Model Simulation Result\"\n",
    "plot_sim_res(data, res_r, title, num_train, savename = \"hf_return_sim\", save = False)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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